Question

Can Someone Help Me? Please? Metals, Fans , Anything...!
Iris has been studying an invasive population of snails. This particular snail has no local predators so the population grows wildly. She has observed that the population follows an exponential rate of growth for fifteen years

Answer 1

Create your own exponential function, f(x), which models the snail population. You will need to identify the principal population of the snails and the rate of growth each year. Explain to Iris how your function shows the principal population and the rate of growth, in complete sentences.

Answer 2

Well, an exponential growth would be of the form:

\[A = A_oe^{Bt}\]

Where A is what you have at time t, Ao is what you started with, B is a growth parameter that controls how fast the population would grow, and t is time.

Answer 3

it doesnt tell me anything

Answer 4

Everything you need is there. Ao is what you start with. What is the population that you start with?

Answer 5

i doesnt tell me

Answer 6

Right. But we can say the "initial population," which I believe is what you're calling the "principle population."

Answer 7

meaning?

Answer 8

the exponential term (e^Bt) is what controls the rate of growth. B in particular. The larger the value of B, the faster the population will grow.

Answer 9

ugh im confused /:

Answer 10

Have a calculator?

Answer 11

yeah

Answer 12

Let's play around with this equation a bit. First, let's look at the exponential term.

First, let's choose B=1. We'll look at times of t =1, t=5, and t=10.
So, t = 1, 5, 10
For t=1, we get e^1
For t = 5, we get e^5
For t = 10, we get e^10

Next, let's choose B=10. We'll still look at the same values for t.

Bt = 10, 50, 100

For t = 1, we get Bt = 10. So: e^10
For t=5, we get Bt = 50. So: e^50
For t=10, we get Bt = 100. So: e^100

If you evaluate each of these, you'll see that the larger B is, the faster the exponential grows (keep in mind that we used exactly the same times for each of these)

Answer 13

@sleepyjess could you help me? im not understanding him... please

Answer 14

I think I did this, but hold on, I have to finish this test first. :)

Answer 15

thank you !! your my life saver <3

Answer 16

Ur welcome! Wait for me, I'll message it to you. :)

Answer 17

thank you x a million

Answer 18

Ur welcome! Haha. :)